基于演变谱和正交化HHT法的类谐和长周期地震动合成
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摘要
结合演变谱理论和正交化HHT法的优点,建立了一种能同时反映强度和频率非平稳特性的地震动人工合成方法.选取1999年台湾集集地震中的2条类谐和长周期地震动记录作为原始地震动进行了人工合成,并进行了局部功率谱密度分析和反应谱分析.分析结果表明,本文建立的地震动合成方法能实现对地震动频率非平稳性的模拟,合成的类谐和长周期地震动时程与原始地震动时程在能量时频分布上具有较好的一致性,且弹性反应谱及弹塑性反应谱的拟合精度较高,可供工程结构地震反应分析使用.
Combining with the advantages of evolutionary spectra theory and orthogonal HHT method,a method for the simulation of ground motions was established,which could simulate both non-stationary strength and frequency.Two harmonic-like long-period seismic records from Chi-chi Earthquake in Taiwan 1999 were selected as the original sample to simulate the long-period ground motions.The orthogonal HHT method was adopted to study the local spectral density and energy distribution of the artificial harmonic-like long-period ground motion samples.It was shown that the artificial ground motion samples obtained in the proposed method had an agreement in energy-time-frequency distribution with the original ground motions.It also has a good performance in the compatibility of elastic and elastic-plastic response spectra.The artificial harmonic-like long-period ground motions obtained in the proposed method can be used in the seismic response analysis of engineering structures.
Combining with the advantages of evolutionary spectra theory and orthogonal HHT method,a method for the simulation of ground motions was established,which could simulate both non-stationary strength and frequency.Two harmonic-like long-period seismic records from Chi-chi Earthquake in Taiwan 1999 were selected as the original sample to simulate the long-period ground motions.The orthogonal HHT method was adopted to study the local spectral density and energy distribution of the artificial harmonic-like long-period ground motion samples.It was shown that the artificial ground motion samples obtained in the proposed method had an agreement in energy-time-frequency distribution with the original ground motions.It also has a good performance in the compatibility of elastic and elastic-plastic response spectra.The artificial harmonic-like long-period ground motions obtained in the proposed method can be used in the seismic response analysis of engineering structures.
引文
[1]胡灿阳.非平稳地震动模型与相互作用体系的动力响应研究[D].同济大学土木工程学院,2009.HU Can-yang.Research on model for non-stationary earthquakeground motion and dynamic response of soil-structure interaction sys-tem[D].Shanghai:Tongji University,School of Civil Engineering,2009.(In Chinese)
[2]ZHANG Zhen-xuan,CHEN Qing-jun.Long-period response spec-trum and earthquake response analysis of super high-rise building[J].Advanced Materials Research,2010,163/167:3964-3971.
[3]GU P.Hilbert-huang-transform based modeling and simulation ofnon-stationary processes and applications to earthquake engineering[D].Urbana,Illinois:University of Illinois at Urbana-Champaige,2004:32-34.
[4]YEH C H,WEN Y K.Model of non-stationary earthquake groundmotion and application[C]//Proceedings of Fourth U S NationalConference on Earthquake Engineering.1990,Vol1:505-514.
[5]楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报:自然科学版,2007,35(3):293-298.LOU Meng-lin,HUANG Tian-li.The orthogonal empirical modedecomposition[J].Journal of Tongji University:Natural Science,2007,35(3):293-298.(In Chinese)
[6]胡灿阳,陈清军.非平稳地震地面运动局部谱密度的正交化HHT估计[J].同济大学学报:自然科学版,2008,36(9):1164-1169.HU Can-yang,CHEN Qing-jun.Research on estimation of localspectral density of non-stationary earthquake ground motion using theorthogonal HHT theory[J].Journal of Tongji University:NaturalScience,2008,36(9):1164-1169.(In Chinese)
[7]PRIESTLEY M B.Evolutionary spectra and non-stationary processes[J].Journal of Royal Statistical Society,Series B Methodological,1965,27(2):204-237.
[8]PRIESTLEY M B.Power spectral analysis of non-stationary randomprocesses[J].Journal of Sound Vibration,1967,6(1):86-97.
[9]梁建文.非平稳地震动过程模拟方法(Ⅰ)[J].地震学报,2005,27(2):213-224.LIANG Jian-wen.Simulation of non-stationary ground motionprocess[J].Acta Seismologica Sinica,2005,27(2):213-224.(InChinese)
[10]王宏禹,邱天爽,陈喆.非平稳随机信号分析与处理[M].北京:国防工业出版社,2008.WANG Hong-yu,QIU Tian-shuang,CHEN Zhe.Nonstationaryrandom signal analysis and processing[M].Beijing:National DefenseIndustry Press,2008.(In Chinese)
[11]HUANG N E.The empirical mode decomposition and Hilbert spec-trum for nonlinear and non-stationary time series analysis[C]//Pro RSoc Long A.London:The Royal Society,1998,454:915-923.
[12]罗奇峰,石春香.Hilbert-Huang变换理论及其计算中的问题[J].同济大学学报:自然科学版,2003,31(6):637-640.LUO Qi-feng,SHI Chun-xiang.Hilbert-Huang transform and sev-eral problems in its calculation method[J].Journal of Tongji Univer-sity:Natural Science,2003,31(6):637-640.(In Chinese)
[13]赵进平.异常事件对EMD方法的影响及其解决方法研究[J].青岛海洋大学学报,2001,31(6):805-814.ZHAO Jin-ping.Study on the effects of abnormal events to empiricalmode decomposition method and removal method for abnormal signal[J].Journal of Ocean University of Qingdao,2001,31(6):805-814.(In Chinese)
[14]CLOUGH R W,JOHNSTON S B.Effect of stiffness degradation onearthquake ductility requirements[C]//Proc of the Japan EarthquakeEngineering Symposium.Tokyo,1966:227-232.
[2]ZHANG Zhen-xuan,CHEN Qing-jun.Long-period response spec-trum and earthquake response analysis of super high-rise building[J].Advanced Materials Research,2010,163/167:3964-3971.
[3]GU P.Hilbert-huang-transform based modeling and simulation ofnon-stationary processes and applications to earthquake engineering[D].Urbana,Illinois:University of Illinois at Urbana-Champaige,2004:32-34.
[4]YEH C H,WEN Y K.Model of non-stationary earthquake groundmotion and application[C]//Proceedings of Fourth U S NationalConference on Earthquake Engineering.1990,Vol1:505-514.
[5]楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报:自然科学版,2007,35(3):293-298.LOU Meng-lin,HUANG Tian-li.The orthogonal empirical modedecomposition[J].Journal of Tongji University:Natural Science,2007,35(3):293-298.(In Chinese)
[6]胡灿阳,陈清军.非平稳地震地面运动局部谱密度的正交化HHT估计[J].同济大学学报:自然科学版,2008,36(9):1164-1169.HU Can-yang,CHEN Qing-jun.Research on estimation of localspectral density of non-stationary earthquake ground motion using theorthogonal HHT theory[J].Journal of Tongji University:NaturalScience,2008,36(9):1164-1169.(In Chinese)
[7]PRIESTLEY M B.Evolutionary spectra and non-stationary processes[J].Journal of Royal Statistical Society,Series B Methodological,1965,27(2):204-237.
[8]PRIESTLEY M B.Power spectral analysis of non-stationary randomprocesses[J].Journal of Sound Vibration,1967,6(1):86-97.
[9]梁建文.非平稳地震动过程模拟方法(Ⅰ)[J].地震学报,2005,27(2):213-224.LIANG Jian-wen.Simulation of non-stationary ground motionprocess[J].Acta Seismologica Sinica,2005,27(2):213-224.(InChinese)
[10]王宏禹,邱天爽,陈喆.非平稳随机信号分析与处理[M].北京:国防工业出版社,2008.WANG Hong-yu,QIU Tian-shuang,CHEN Zhe.Nonstationaryrandom signal analysis and processing[M].Beijing:National DefenseIndustry Press,2008.(In Chinese)
[11]HUANG N E.The empirical mode decomposition and Hilbert spec-trum for nonlinear and non-stationary time series analysis[C]//Pro RSoc Long A.London:The Royal Society,1998,454:915-923.
[12]罗奇峰,石春香.Hilbert-Huang变换理论及其计算中的问题[J].同济大学学报:自然科学版,2003,31(6):637-640.LUO Qi-feng,SHI Chun-xiang.Hilbert-Huang transform and sev-eral problems in its calculation method[J].Journal of Tongji Univer-sity:Natural Science,2003,31(6):637-640.(In Chinese)
[13]赵进平.异常事件对EMD方法的影响及其解决方法研究[J].青岛海洋大学学报,2001,31(6):805-814.ZHAO Jin-ping.Study on the effects of abnormal events to empiricalmode decomposition method and removal method for abnormal signal[J].Journal of Ocean University of Qingdao,2001,31(6):805-814.(In Chinese)
[14]CLOUGH R W,JOHNSTON S B.Effect of stiffness degradation onearthquake ductility requirements[C]//Proc of the Japan EarthquakeEngineering Symposium.Tokyo,1966:227-232.
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